Unitary colligations in \(\pi _ k\)-spaces, characteristic functions and Shtraus extensions

DOI10.2140/pjm.1986.125.347zbMath0573.47027OpenAlexW2150151815WikidataQ124629937 ScholiaQ124629937MaRDI QIDQ1063219

Aalt Dijksma, Hendrik S. V. de Snoo, Heinz K. Langer

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.125.347

zbMATH Keywords

Cayley transformPontryagin spaceboundary values of characteristic functions of a unitary colligationdefect subspacesŠtraus extension

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47D99) Linear operators on spaces with an indefinite metric (47B50)

Related Items (14)

Symmetric and Isometric Relations ⋮ Nonnegative solutions of algebraic Riccati equations ⋮ Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions ⋮ Compressions of maximal dissipative and self-adjoint linear relations and of dilations ⋮ A generalization of Stenger's lemma to maximal dissipative operators ⋮ Functional models for entire symmetric operators in rigged de Branges Pontryagin spaces ⋮ Rank one perturbations at infinite coupling in Pontryagin spaces. ⋮ Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions ⋮ Self-Adjoint Extensions of a Symmetric Linear Relation with Finite Defect: Compressions and Straus Subspaces ⋮ Minimal passive realizations of generalized Schur functions in Pontryagin spaces ⋮ The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces ⋮ Passive discrete-time systems with a Pontryagin state space ⋮ W. Stenger's and M. A. Nudelman's results and resolvent formulas involving compressions ⋮ Standard symmetric operators in Pontryagin spaces: A generalized von Neumann formula and minimality of boundary coefficients

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